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Finding the Fourth Proportional to 3,966.16, 5,956 and 3,307.36

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Solution

The fourth proportional to 3,966.16, 5,956 and 3,307.36 is: 4,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.16 : 5,956 = 3,307.36 : x
  2. Step 2: Convert to fraction form
    3,966.16/5,956 = 3,307.36/x
  3. Step 3: Cross multiply
    3,966.16x = 5,956 × 3,307.36
  4. Step 4: Simplify right side
    3,966.16x = 19,698,636.16
  5. Step 5: Solve for x
    x = 19,698,636.16/3,966.16
  6. Step 6: Final answer
    x = 4,966.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.